Quantization of the Reissner-Nordstr\"{o}m Black Hole

TL;DR

This paper applies group theoretical quantization to the Reissner-Nordström black hole, deriving spectra of observables within a sigma model framework coupled to Euclidean gravity.

Contribution

It introduces a novel group theoretical quantization approach for Reissner-Nordström black holes within a sigma model context, identifying key observables and their spectra.

Findings

Spectra of observables are explicitly calculated.

Reissner-Nordström solutions are connected to a nonlinear sigma model.

Quantization provides new insights into black hole properties.

Abstract

The Reissner--Nordstr\"{o}m family of solutions can be understood to arise from the spherically symmetric sector of a nonlinear SO(2,1)/SO(1,1) sigma model coupled to three dimensional Euclidean gravity. In this context a group theoretical quantization is performed. We identify the observables of the theory and calculate their spectra.